3 papers
math-ph2026
Nested polynomial algebras and the exact spectrum of a three-dimensional two-spin oscillator
Ian Marquette, O. Ogulcan Tuncer, I. Yurdusen
We construct representations of the symmetry algebra and derive the exact spectrum of a three-dimensional oscillator with two spin- degrees of freedom. The Hamiltonian an…
math-ph2026
Superintegrable systems of two interacting spin- particles with first-order vector integrals of motion
O. Ogulcan Tuncer, I. Yurdusen
We study quantum superintegrability for two interacting non-relativistic spin- particles in three-dimensional Euclidean space. The Hamiltonian contains a central potential…
math-ph2026
Superintegrability in the interaction of two particles with spin: First-order pseudo-scalar integrals of motion
Fatih Turkkan, O. Ogulcan Tuncer, I. Yurdusen
In recent work, we initiated a research program aimed at the systematic investigation of quantum superintegrable systems describing the interaction of two non-relativistic spin-$1/…